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A ranking method based on interval type-2 fuzzy sets for multiple attribute group decision making

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Abstract

Ranking of fuzzy numbers has become an important research direction for decision-making problems due to its role to find the best objects under uncertainty. In this paper, we propose a new approach to perform multiple attribute group decision-making (MAGDM) problems using the ranking of interval type-2 fuzzy sets. Initially, a new ranking method for interval type-2 fuzzy numbers based on centroid and rank index has been proposed. Next, we present a comparative study to analyze the ranking values of the proposed method with the existing approaches, where we explore the necessity of the proposed ranking method. After that, a new MAGDM approach has been developed using the proposed ranking procedure to solve uncertain MAGDM problems. Finally, the applicability of the proposed approach has been illustrated using two numerical examples and a case study related to car-sharing problems. The proposed study exhibits a useful way to solve fuzzy MAGDM problems with much efficient manner since it applies interval type-2 fuzzy sets compared to type-1 fuzzy sets to signify the evaluating values and weights of the attributes.

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Authors and Affiliations

  1. Department of Mathematics, Dr. B. C. Roy Engineering College, Durgapur, India

    Avijit De

  2. Decision Science and Operations Management, Birla Global University, Bhubaneswar, India

    Pradip Kundu

  3. Department of Computer Science and Engineering, National Institute of Technology Warangal, Hanamkonda, India

    Sujit Das

  4. Department of Mathematics, National Institute of Technology Durgapur, Durgapur, India

    Samarjit Kar

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  1. Avijit De
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  2. Pradip Kundu
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  4. Samarjit Kar
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Correspondence to Samarjit Kar.

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Communicated by O. Castillo, D. K. Jana.

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De, A., Kundu, P., Das, S. et al. A ranking method based on interval type-2 fuzzy sets for multiple attribute group decision making. Soft Comput 24, 131–154 (2020). https://doi.org/10.1007/s00500-019-04285-9

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